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A restaurant sold a total of 418 large and small hamburgers during one day. Total hamburger sales were $1077. Large hamburgers sold for $3 and small hamburgers sold for $1.50. What is the system of linear equations that can be used to find L, the number of large hamburgers sold, and S, the number of small hamburgers sold?
L + S = 418
3L + 1.50S = 1077